Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 11 12 10 7 5 5 6 8 10 12 12 13 15 16 15 13 11 10 7 5 7 9 11 11 10 8 5 3 2 2 4 7 9 9 7 7 7 8 8 9 9 10 10 10 10 10 11 12 11 8 5 4 6 10 14 18 20 18 15 12 10 8 6 5 4 5 5 4 3 3 5 6 7 8 8 9 11 12 13 14 13 12 12 13 15 15 14 12 10 6 3 3 5 9 10 9 8 10 13 15 15 13 9 7 7 9 10 11 13 15 14 12 10 10 10 10 9 9 11 14 17 19 19 15 8 4 3 4 6 7 8 8 6 5 7 10 13 13 12 10 8 8 8 9 8 6 6 5 5 5 7 9 9 8 7 9 12 13 12 8 4 2 4 7 11 12 11 9 9 8 8 8 8 8 9 9 9 9 8 8 9 11 13 14 15 16 15 13 12 nan
nan 10 10 8 5 3 4 6 8 10 11 12 14 16 16 15 13 12 11 8 7 8 11 12 12 10 8 6 4 3 3 5 8 9 10 9 7 7 8 9 9 10 11 12 12 12 12 12 11 9 6 4 3 4 6 9 13 17 18 16 13 11 9 8 7 7 8 8 7 5 3 3 4 6 7 8 8 10 12 13 14 13 11 10 11 14 16 16 13 11 8 6 3 2 4 7 10 12 13 15 16 15 12 8 6 7 8 9 10 13 16 16 14 11 9 9 7 5 5 7 10 14 16 17 16 12 10 10 10 9 6 4 2 1 1 4 8 13 14 14 11 8 6 6 7 7 6 6 5 5 5 8 10 11 11 10 9 9 8 7 5 1 -2 0 5 10 12 11 10 9 9 9 8 8 8 9 9 9 8 8 8 9 11 13 14 15 14 13 12 11 nan
nan 7 8 7 5 3 5 7 9 11 11 12 14 15 15 13 12 11 9 9 9 11 12 13 12 10 8 7 5 5 5 6 7 8 8 7 7 7 8 9 10 10 11 12 13 13 13 12 11 8 6 5 5 5 5 5 8 12 15 15 13 11 10 10 9 8 9 11 11 9 6 3 3 5 8 9 10 11 12 14 15 14 12 9 9 12 15 15 14 12 11 9 7 4 4 8 12 14 14 14 13 12 9 6 5 5 6 7 8 12 15 16 14 11 9 7 5 1 -0 1 4 8 13 17 18 17 17 17 17 13 8 3 -0 -2 -1 1 4 7 10 10 8 6 4 5 7 8 7 6 5 5 5 6 8 10 12 12 10 9 8 7 4 2 -0 2 6 9 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 12 13 14 14 13 12 11 10 nan
nan 6 6 6 5 4 5 8 11 12 13 13 14 14 12 10 9 8 7 9 11 12 13 13 12 10 8 7 6 6 6 6 6 6 7 7 6 7 8 10 10 11 11 12 12 12 12 11 10 9 7 6 7 7 6 4 5 8 10 12 12 12 11 10 9 8 8 10 12 12 10 7 5 6 9 11 11 12 14 16 17 16 13 9 8 10 13 15 14 13 13 11 9 6 5 9 13 15 14 11 9 8 7 6 5 4 4 5 7 10 13 14 12 10 8 7 4 1 -1 -2 -0 3 9 14 16 16 16 18 18 16 12 8 5 4 4 4 5 6 7 7 6 5 6 7 10 11 9 7 6 5 4 4 5 9 12 13 13 12 11 10 9 7 5 5 7 9 10 11 10 9 9 8 8 8 9 9 9 10 11 12 12 12 12 13 13 13 12 11 10 9 nan
nan 7 6 5 3 3 5 9 12 13 14 14 14 13 10 8 6 5 7 10 12 12 11 10 9 8 7 6 6 5 5 5 6 6 6 6 7 8 9 10 11 11 11 11 11 11 12 11 10 8 7 6 7 7 7 6 6 7 8 9 10 12 12 11 9 8 7 8 10 13 13 12 9 8 9 10 10 11 15 17 18 17 15 10 7 7 10 13 14 14 13 11 9 6 5 8 12 14 13 10 6 5 5 6 7 7 7 7 8 10 11 12 11 8 7 7 6 4 2 -0 -1 0 3 9 13 13 13 12 13 14 14 13 12 11 10 10 10 10 9 9 9 9 10 11 12 11 9 8 7 7 6 6 8 11 13 14 15 14 13 14 14 12 9 7 7 8 9 10 10 9 9 8 9 9 9 9 10 11 12 13 14 13 13 13 13 12 11 10 10 9 nan
nan 7 6 3 2 3 6 9 12 14 14 14 13 11 8 6 5 6 9 11 13 12 11 9 7 7 6 5 5 4 5 6 6 7 6 6 7 9 10 11 11 11 11 11 11 12 12 11 9 7 6 6 6 7 8 9 9 8 7 8 9 11 12 11 9 8 8 7 9 12 14 14 12 10 9 9 8 10 14 17 18 17 15 11 7 5 8 11 13 14 13 11 8 6 5 7 11 12 11 9 6 4 5 7 10 12 11 10 10 11 11 11 9 6 5 6 6 6 5 3 1 -1 -1 3 8 10 9 7 6 7 10 12 12 12 13 14 14 14 14 14 14 13 12 11 11 11 9 8 7 8 8 8 11 14 14 14 14 15 15 16 16 14 10 7 7 8 9 10 10 10 9 9 9 9 9 10 10 11 12 13 14 15 14 14 13 12 11 10 10 9 nan
nan 7 5 2 2 3 7 11 14 15 16 15 13 10 7 6 6 9 11 12 12 12 11 9 7 7 7 6 6 6 6 7 8 7 7 7 8 10 12 12 12 11 11 11 11 12 12 10 7 5 5 6 7 8 9 10 11 10 9 9 9 10 10 10 9 9 9 9 10 11 13 13 12 10 9 9 9 12 15 18 18 17 15 12 9 6 6 9 12 13 13 11 8 6 7 9 11 11 9 8 7 6 7 8 10 12 12 11 12 12 12 11 7 4 4 5 6 8 8 7 4 1 -1 -1 3 5 6 5 4 4 6 7 7 8 11 14 15 15 14 14 14 13 12 12 11 11 10 9 8 8 8 9 11 12 12 12 14 16 18 19 18 14 10 7 7 8 9 10 11 11 10 10 10 9 9 9 10 10 11 12 13 15 15 14 13 12 11 10 10 9 nan
nan 6 4 3 3 5 9 13 15 16 17 15 12 9 8 8 10 12 12 11 10 11 10 9 8 9 9 8 7 7 7 8 8 8 8 8 9 11 12 12 12 11 11 11 11 10 10 8 6 4 4 5 7 8 10 10 9 10 10 11 10 9 8 7 8 9 10 10 10 11 11 11 10 9 9 9 10 13 16 19 19 17 14 12 10 7 6 8 11 13 12 10 8 8 9 11 11 10 9 7 7 7 6 6 7 9 10 11 12 13 13 11 7 5 5 7 8 10 11 11 9 6 3 0 0 1 3 4 5 6 6 4 2 3 6 9 11 11 9 8 7 8 12 14 14 12 10 9 9 9 8 8 8 7 8 10 12 15 17 19 18 14 11 9 8 8 9 10 12 12 11 11 10 10 9 9 9 10 11 11 13 14 15 14 12 11 11 10 9 9 nan
nan 6 4 3 5 7 10 13 15 16 16 14 11 9 10 12 13 13 12 11 9 8 8 8 8 9 10 9 7 7 7 8 8 8 8 9 10 11 12 12 12 12 12 12 12 11 9 7 5 4 3 4 5 6 8 8 8 8 10 11 11 10 8 7 7 8 9 9 10 10 10 10 9 9 8 8 8 10 14 16 17 16 14 13 11 8 7 8 10 12 11 9 8 8 10 11 11 11 9 8 7 6 5 4 6 8 9 10 10 11 11 9 7 7 9 10 11 12 14 14 14 12 10 7 4 3 3 4 6 8 8 5 2 1 1 2 4 5 4 2 -0 1 6 12 14 13 12 10 10 9 8 7 6 6 6 8 9 11 13 16 16 15 13 11 10 8 9 11 12 12 12 11 11 10 9 9 9 10 11 12 13 14 14 13 12 10 10 10 9 8 nan
nan 6 4 3 4 6 8 11 14 16 16 14 11 10 11 13 14 13 12 11 9 8 7 7 6 6 7 7 7 7 7 7 7 8 9 10 11 12 12 13 13 13 14 14 14 13 11 8 6 4 3 4 5 6 7 8 6 7 8 9 10 10 8 7 6 7 7 8 9 10 11 10 9 8 8 6 6 7 8 10 12 13 14 14 11 9 7 7 9 11 10 7 5 6 8 10 10 10 9 8 7 7 6 7 8 10 10 8 7 8 8 8 8 10 13 15 16 15 14 14 15 15 16 15 13 10 8 8 8 9 10 9 5 3 1 -0 -0 1 3 2 -1 -3 -0 6 11 14 14 13 11 10 9 7 6 6 6 7 8 10 12 14 16 15 14 11 9 8 8 10 11 12 12 12 11 10 10 9 9 10 11 12 13 14 14 13 11 10 10 10 9 8 nan
nan 5 3 3 3 5 8 11 14 16 16 15 13 11 11 12 12 11 11 10 10 9 8 8 6 5 5 6 7 7 6 6 7 9 10 11 12 12 13 13 13 14 15 16 17 16 15 11 8 6 5 6 7 8 9 9 7 6 5 6 7 8 8 7 7 7 7 8 8 9 9 9 9 8 7 6 6 6 6 6 7 9 13 15 13 10 8 7 9 11 10 6 4 4 6 9 9 9 8 8 10 10 10 11 11 11 9 7 7 7 8 8 10 12 16 19 20 18 16 14 14 14 16 18 19 19 17 14 12 11 12 12 10 8 5 3 1 2 3 4 2 -0 -1 2 8 13 15 15 13 11 11 10 9 7 6 6 9 12 14 15 15 13 12 10 8 7 8 9 11 11 12 12 12 11 10 9 9 10 11 12 14 15 14 12 10 10 10 10 9 7 nan
nan 3 1 2 4 6 9 12 15 17 17 16 14 11 9 8 8 8 8 8 9 9 8 7 7 6 6 7 7 7 6 5 7 9 11 12 12 12 13 14 14 14 15 16 17 17 17 15 12 10 9 9 10 11 11 10 8 7 5 5 6 7 9 9 9 9 9 8 8 8 8 8 9 9 7 6 6 7 7 7 7 10 14 17 15 12 9 9 11 13 13 11 9 8 9 9 9 8 8 10 13 14 14 13 12 10 8 8 9 11 12 12 11 13 15 18 19 18 16 14 12 11 11 13 16 19 20 18 15 14 14 14 13 11 9 7 6 4 4 6 6 6 5 5 7 10 12 13 12 12 13 13 12 9 6 5 8 10 11 12 11 11 10 8 7 7 8 9 11 12 12 12 12 11 10 9 9 10 11 12 13 14 14 13 12 10 9 9 8 7 nan
nan 2 -0 1 4 7 10 13 15 17 17 16 13 10 7 6 6 7 8 7 6 7 6 6 6 7 7 7 7 6 6 5 6 9 10 11 11 12 13 13 14 13 14 15 16 17 18 18 16 14 13 12 12 12 11 10 10 9 8 7 7 9 11 12 11 11 10 8 7 6 6 7 8 9 8 7 7 7 8 10 11 13 16 18 17 14 12 11 12 14 16 16 16 14 12 9 7 6 8 12 15 17 15 13 11 8 7 9 11 13 13 12 11 11 12 13 14 15 14 13 11 8 6 6 8 10 12 14 16 16 15 13 11 10 10 9 7 5 5 7 10 12 12 10 8 7 8 9 10 11 12 12 11 9 6 6 7 7 8 9 10 11 10 8 7 7 8 9 10 12 12 13 12 11 10 9 9 10 10 10 11 12 14 15 13 10 9 8 8 8 nan
nan 1 0 1 3 7 10 13 15 17 17 15 12 9 6 5 5 7 8 8 7 6 5 5 6 7 8 8 7 7 7 6 6 7 8 9 10 11 12 12 12 12 12 12 14 16 17 18 17 16 14 13 12 11 11 11 11 11 10 8 8 9 11 13 13 12 11 9 7 6 5 5 7 8 9 9 9 9 10 11 12 13 15 17 18 16 13 11 11 11 14 17 17 15 12 7 4 4 8 13 16 16 14 12 10 9 7 8 9 10 10 10 9 9 10 10 11 11 11 10 9 6 4 3 3 3 4 7 13 16 14 12 10 8 8 8 7 7 8 11 14 16 17 15 12 7 5 6 7 8 8 7 6 5 6 8 9 10 12 13 13 13 11 9 8 8 8 9 10 11 12 13 13 11 10 10 10 10 9 9 9 10 14 16 14 11 9 8 9 9 nan
nan 2 1 2 5 8 11 14 16 17 17 14 11 8 6 6 6 8 9 9 8 6 5 5 6 8 9 9 8 9 8 7 6 5 6 7 9 10 11 11 10 10 10 11 12 14 14 15 14 14 13 12 11 10 9 10 11 12 12 10 8 8 10 12 13 14 14 13 11 9 7 7 7 8 9 9 9 10 10 9 9 10 13 15 16 16 14 11 9 8 9 11 12 11 9 6 3 4 8 13 15 14 13 11 10 9 7 6 7 8 8 7 7 8 8 8 8 8 8 7 7 6 6 5 4 3 3 4 8 11 12 12 10 9 8 8 10 12 15 17 17 17 17 17 14 10 6 6 5 4 3 2 1 3 6 9 11 13 14 15 14 13 12 11 10 9 9 8 9 11 12 13 13 12 11 11 11 10 9 7 8 10 14 15 13 10 9 8 9 9 nan
nan 2 3 5 7 9 12 16 19 19 17 14 11 8 7 7 7 7 7 5 5 4 4 5 6 7 8 9 9 9 8 6 5 4 4 6 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 8 9 12 14 14 13 10 7 6 8 12 15 17 17 15 13 11 10 9 9 9 9 8 8 8 7 7 8 12 15 16 16 14 11 8 6 6 6 7 7 7 6 5 5 7 10 12 13 13 12 11 10 7 5 5 5 5 4 5 5 5 6 6 6 5 5 6 7 7 8 7 6 6 6 6 8 10 11 11 11 10 10 12 15 17 18 17 15 14 13 12 10 8 7 6 5 2 0 0 3 7 9 11 11 11 11 11 12 14 14 13 12 10 10 10 11 12 14 15 14 14 13 12 10 8 6 8 11 13 13 11 10 9 9 9 9 nan
nan 4 5 6 6 8 12 17 21 23 21 17 13 9 7 6 7 7 6 3 2 3 4 5 6 7 8 8 10 11 10 7 5 4 3 5 5 6 6 7 8 9 9 9 9 8 8 8 9 10 9 9 8 8 9 11 14 17 17 15 11 7 4 6 9 13 16 17 16 14 12 10 10 10 10 9 8 7 6 6 7 10 14 17 18 17 15 12 9 6 5 4 4 6 8 9 9 7 5 5 9 12 14 13 11 9 7 5 3 3 3 3 3 3 3 4 5 6 6 5 6 7 8 9 9 9 9 9 9 9 9 10 11 11 12 11 10 11 12 12 11 9 7 6 5 6 7 9 10 9 7 3 2 4 7 8 8 7 6 6 7 10 13 14 14 13 12 11 11 11 12 14 15 16 16 15 13 11 8 7 10 12 12 11 10 9 10 10 10 9 nan
nan 8 8 7 6 7 10 16 22 26 24 20 15 11 8 7 8 9 8 6 5 5 6 7 8 8 8 8 9 11 12 11 9 7 5 5 4 3 3 4 6 8 10 9 8 7 6 7 8 8 8 7 7 8 10 14 17 20 19 16 12 8 6 7 8 9 11 12 12 12 11 11 11 11 11 10 9 8 8 8 10 12 14 16 17 17 16 14 11 8 6 5 6 8 11 13 12 8 4 4 7 11 13 12 8 5 4 3 3 4 4 4 4 4 4 5 7 9 10 10 9 8 8 9 9 10 11 11 12 11 9 9 10 12 11 9 6 4 3 3 2 2 1 0 1 4 8 10 12 11 9 6 5 5 6 5 4 2 1 2 5 8 10 12 13 12 12 11 11 11 12 14 15 16 17 16 15 13 10 10 11 12 12 10 9 9 10 10 10 9 nan
nan 9 9 7 6 6 8 13 19 23 22 18 14 11 9 9 11 14 13 11 9 8 8 8 8 8 7 7 8 10 11 12 12 12 10 8 6 4 3 3 5 7 9 11 9 8 7 7 7 8 8 8 8 9 12 15 18 21 21 19 16 13 12 10 9 7 7 7 8 9 11 13 14 13 12 12 11 12 13 14 14 13 12 12 14 15 16 15 13 11 9 9 11 13 16 15 11 7 4 5 8 11 11 10 6 3 1 2 5 7 8 7 7 7 7 9 10 12 14 16 15 13 10 9 8 8 9 10 11 11 9 9 11 12 11 8 4 1 -0 -1 -1 -1 -1 -2 -0 4 9 12 12 10 8 6 5 5 5 4 2 1 0 2 5 7 8 10 10 10 10 10 10 10 11 12 12 13 14 15 15 14 13 12 12 13 12 11 9 9 10 10 9 8 nan
nan 7 6 6 5 6 7 10 13 16 16 14 12 10 10 11 13 16 16 13 9 7 6 7 7 7 6 5 6 8 9 10 12 14 15 13 10 8 6 5 5 6 8 10 11 10 9 8 8 8 9 10 11 13 14 15 17 19 20 20 20 18 16 13 10 7 6 5 6 8 9 11 12 13 12 11 11 11 13 15 15 13 10 9 10 13 15 16 15 14 14 16 18 20 20 16 8 4 3 5 8 10 11 10 8 5 3 4 6 9 11 10 9 8 8 8 9 11 15 19 21 20 15 10 7 5 5 7 8 9 9 9 10 12 12 9 6 4 3 3 2 1 -0 -1 1 6 11 14 13 9 6 5 5 4 3 2 2 2 4 5 7 7 7 8 9 9 9 9 9 9 10 10 10 9 10 11 13 14 13 13 13 14 14 13 11 9 9 9 8 8 nan
nan 6 4 4 5 5 6 8 10 11 12 10 10 10 11 12 14 16 16 13 8 6 5 6 6 6 5 4 5 7 8 9 10 12 16 17 15 13 10 8 7 7 7 8 11 12 11 10 9 9 10 12 15 17 17 15 14 14 15 18 19 18 16 13 10 8 7 7 8 8 8 7 8 9 10 9 8 7 8 11 12 12 11 10 10 11 14 15 15 16 19 22 25 25 22 15 6 0 0 3 6 9 10 10 10 9 8 7 8 9 10 11 11 9 6 5 6 9 14 19 24 25 20 12 6 3 3 4 5 7 7 7 8 9 11 11 10 9 8 6 4 3 3 3 6 9 12 14 12 8 6 6 5 2 1 0 1 3 5 6 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 9 10 11 11 12 12 14 15 14 12 10 9 9 9 8 nan
nan 7 4 4 4 4 6 8 9 10 9 9 9 10 11 12 13 14 14 12 8 6 5 6 6 5 4 4 5 7 8 8 8 10 13 18 18 15 12 10 8 7 6 6 9 13 14 13 11 9 10 12 15 17 17 14 11 11 11 12 14 14 14 13 11 9 8 8 10 11 10 7 7 7 7 7 7 7 7 8 10 12 13 13 12 11 11 12 13 16 20 25 28 27 22 13 4 -2 -2 -0 2 5 7 8 10 11 11 10 9 9 9 12 13 10 6 6 7 10 15 20 24 26 21 13 8 5 3 2 3 4 5 5 5 7 9 11 12 11 9 6 4 4 6 9 11 12 11 9 7 7 8 8 7 5 2 0 1 2 4 5 5 6 6 7 8 9 9 10 10 10 10 10 10 10 9 9 8 9 10 11 12 13 13 13 12 11 10 10 10 9 nan
nan 9 7 4 3 4 6 8 10 10 9 8 8 9 11 12 12 11 11 10 9 7 7 7 6 5 3 4 5 7 8 8 8 9 11 16 18 16 12 9 7 6 6 5 7 11 15 15 13 10 8 9 12 14 14 12 10 9 9 9 10 11 12 13 13 12 10 10 11 12 12 9 7 6 6 7 9 10 10 11 12 14 15 15 13 11 8 7 9 13 18 24 27 25 20 11 4 1 0 -0 -1 -1 1 4 8 10 11 12 11 10 10 10 10 9 8 9 11 14 16 19 22 23 20 15 13 10 8 5 4 3 3 3 3 4 7 9 11 10 9 6 4 6 10 13 15 13 9 4 2 5 9 12 12 11 7 3 2 3 4 5 6 6 7 7 7 9 10 10 11 11 11 11 11 11 11 10 9 10 11 12 13 12 11 11 12 12 12 11 10 9 nan
nan 11 9 6 4 4 6 8 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 7 6 5 4 4 6 7 8 8 8 8 9 13 16 15 12 9 7 7 7 5 5 9 13 16 15 11 8 7 8 9 9 9 8 7 7 7 8 9 11 13 14 14 13 12 12 11 10 8 6 6 7 8 10 12 14 15 16 17 17 16 13 10 6 3 4 9 15 21 24 23 19 12 7 4 2 0 -1 -2 -0 4 7 9 10 11 11 11 9 8 8 8 8 10 12 14 15 16 17 18 18 18 17 16 14 11 7 5 4 3 2 3 5 7 9 9 8 7 7 10 13 15 14 10 5 1 1 5 10 14 16 15 11 7 4 4 5 6 7 8 8 8 8 9 10 10 11 11 11 12 12 12 12 11 11 11 12 13 14 12 11 11 11 11 11 11 10 9 nan
nan 10 10 9 6 6 6 6 6 6 7 9 9 9 10 10 10 10 9 9 10 10 9 8 6 5 4 5 7 8 8 8 8 8 8 10 11 11 9 8 9 10 11 8 5 7 11 14 15 12 8 6 5 7 7 7 7 7 6 6 7 9 10 11 12 14 14 14 13 11 8 6 4 4 6 7 9 10 13 15 17 18 18 17 14 10 5 1 2 7 13 18 22 21 18 15 12 8 4 2 2 2 4 7 9 9 10 10 10 10 9 9 10 11 11 12 13 14 14 13 13 14 16 18 19 19 18 16 13 8 5 4 2 1 3 6 8 8 7 7 8 11 13 14 12 8 4 3 5 8 11 15 16 15 12 8 6 6 6 7 8 9 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 14 14 14 13 12 12 11 10 10 9 8 7 nan
nan 10 8 8 7 7 7 6 4 3 4 5 6 6 7 8 9 9 9 8 9 9 9 8 6 5 5 6 8 9 9 8 8 7 7 7 7 7 7 8 10 14 16 14 8 7 9 11 13 11 8 6 6 6 7 7 7 7 6 6 7 9 10 10 11 12 14 16 15 11 7 5 3 2 4 5 6 7 9 12 13 15 16 16 15 10 6 2 2 6 11 16 18 18 17 16 15 12 9 7 7 9 10 11 11 10 9 9 8 9 10 11 13 14 14 13 13 14 14 13 12 12 14 16 18 19 20 20 17 13 9 6 4 2 2 4 6 7 7 7 8 11 12 13 11 9 7 7 8 9 11 13 14 13 11 9 7 7 8 8 9 10 10 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 15 14 13 12 11 9 8 7 6 6 nan
nan 11 8 7 8 8 8 7 6 4 3 2 2 4 5 7 9 10 9 8 8 9 9 9 7 6 5 7 8 9 9 8 7 6 6 6 6 6 6 7 9 14 17 17 12 8 8 8 10 9 7 6 6 6 7 8 7 7 7 7 8 9 9 9 10 11 14 15 15 11 7 4 2 2 2 4 5 6 7 8 10 11 12 13 13 11 6 3 2 5 10 14 16 15 14 15 17 17 15 13 12 12 12 12 11 10 9 8 7 8 9 10 12 13 13 13 13 13 14 14 13 13 12 13 14 16 19 20 20 18 15 12 9 6 3 3 5 7 7 7 8 10 11 11 11 9 9 8 8 8 9 11 12 11 9 8 8 8 8 9 10 11 11 11 12 13 14 13 13 12 11 12 13 14 15 15 15 14 15 15 15 14 12 11 10 9 8 7 6 6 nan
nan 11 8 8 9 10 10 10 10 8 7 5 5 7 9 10 12 12 9 7 6 7 8 9 8 6 5 5 6 7 7 6 6 5 6 7 7 7 6 6 7 10 13 14 11 8 7 7 7 7 6 5 6 6 7 7 8 8 8 8 8 8 9 9 10 11 12 13 12 8 5 4 3 2 3 3 5 6 7 7 8 8 9 10 10 8 5 3 3 5 10 14 16 15 13 13 16 17 18 16 13 11 10 10 10 10 10 9 8 8 8 8 9 10 11 13 13 14 14 14 14 13 12 12 11 12 14 16 18 19 19 17 14 11 8 5 6 7 8 8 8 9 10 10 9 8 8 7 7 8 8 9 9 8 8 8 8 8 9 10 11 12 11 12 13 13 13 13 12 11 11 12 14 15 15 14 13 12 13 14 15 14 12 11 9 8 8 7 7 6 nan
nan 9 8 7 7 10 12 13 13 12 10 9 9 11 12 13 12 11 8 5 4 4 6 8 8 7 4 4 4 5 5 5 4 4 6 7 8 8 7 7 6 7 8 8 7 6 6 6 7 7 6 5 5 5 6 7 8 9 9 9 9 9 9 10 10 11 11 11 8 6 4 3 3 3 3 4 5 6 7 8 8 7 8 8 7 5 3 2 4 7 10 14 15 14 13 12 14 16 17 15 12 9 8 8 9 10 11 11 10 8 7 6 7 9 11 13 15 15 14 13 13 13 12 11 10 10 10 12 14 16 18 18 17 15 12 9 8 8 8 8 8 8 9 8 8 7 7 6 7 8 9 9 8 6 6 6 8 9 11 13 13 13 12 12 13 14 14 14 13 12 12 14 15 15 14 12 9 9 10 13 14 15 13 11 10 9 8 8 7 7 nan
nan 6 6 6 5 6 10 12 14 13 11 11 12 12 12 12 10 8 6 4 3 3 5 7 8 7 4 2 2 3 4 4 4 5 6 8 9 9 8 7 6 5 5 5 4 4 4 6 7 7 6 5 5 5 6 7 9 10 10 10 10 10 10 11 11 11 10 9 7 5 4 3 3 3 4 4 5 7 8 8 8 7 7 8 7 5 4 4 6 9 11 13 13 12 12 12 13 15 15 14 12 9 9 9 10 10 10 10 8 7 5 5 6 8 10 13 15 16 15 14 13 12 12 11 10 10 10 11 12 13 15 15 15 13 12 10 9 8 7 7 6 6 6 7 6 6 6 5 6 7 8 8 7 5 4 5 7 10 13 15 15 14 12 13 14 15 16 16 15 14 14 13 13 12 11 9 8 8 9 11 13 14 14 13 11 10 9 9 8 8 nan
nan 6 7 6 4 3 6 9 11 11 11 12 12 11 11 9 8 6 5 4 4 3 4 6 8 8 5 2 2 3 5 5 6 6 7 8 8 8 8 7 6 5 4 3 2 3 4 5 6 7 7 6 6 6 7 9 10 11 12 12 12 12 11 11 10 9 8 7 7 6 5 5 4 4 4 5 5 6 7 7 7 6 6 7 7 7 6 6 7 9 11 11 11 10 10 11 13 14 15 15 13 11 11 11 11 10 9 6 5 5 5 6 6 7 9 11 12 14 14 14 13 13 12 12 11 10 10 11 12 12 12 12 12 11 10 8 7 6 6 5 5 4 5 5 5 5 5 5 5 6 7 6 5 4 5 6 9 12 14 14 14 13 13 14 15 16 17 17 15 13 11 10 9 8 8 8 8 9 10 11 12 13 13 13 11 11 10 10 9 9 nan
nan 11 11 9 6 4 4 5 6 7 8 9 10 11 10 9 8 7 6 5 4 4 4 5 7 8 5 4 4 5 6 7 8 8 8 7 7 8 9 9 9 7 5 2 2 2 3 4 6 6 6 6 7 8 9 10 12 13 14 14 14 13 11 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 8 8 9 9 8 9 9 10 12 14 15 15 14 13 12 13 12 11 8 5 5 6 7 7 7 7 7 9 10 12 13 13 12 12 12 12 11 11 10 10 11 11 12 11 10 9 8 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 5 4 3 3 6 9 12 14 13 11 11 11 12 13 14 15 15 14 11 9 8 7 7 7 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 nan
nan 14 15 14 12 8 5 4 4 3 5 7 9 10 11 11 11 9 8 6 6 5 5 5 6 6 5 5 6 7 8 9 9 8 7 6 7 9 11 13 13 11 8 5 3 3 4 5 6 6 6 7 8 10 11 12 12 13 15 16 15 12 8 4 2 2 3 4 6 7 7 7 8 8 9 10 9 8 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 9 10 12 14 14 13 12 12 12 11 10 8 6 7 8 8 8 7 7 8 9 10 11 12 13 12 12 11 11 11 10 10 10 11 12 13 12 10 9 8 9 9 9 8 9 10 10 10 9 8 8 7 7 7 6 4 3 4 5 7 10 12 13 11 8 8 9 9 10 10 11 12 11 9 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 9 9 9 10 10 10 nan
nan 11 14 17 17 14 10 7 5 4 6 7 8 10 11 12 12 10 8 7 6 6 6 6 6 7 7 6 7 8 9 9 8 8 8 7 8 10 13 15 16 14 12 9 7 6 6 7 7 6 6 7 9 11 12 12 12 13 15 16 14 9 5 1 -0 1 3 4 6 7 8 8 9 10 12 12 11 10 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 10 11 12 13 12 11 10 8 7 6 6 6 7 8 8 9 9 10 11 12 12 12 13 14 14 13 11 10 9 10 11 13 14 15 16 16 13 11 9 10 11 12 11 11 12 13 14 13 12 11 11 9 7 5 4 5 7 9 11 11 10 10 8 8 7 7 6 6 7 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 10 nan
nan 5 9 16 19 18 14 10 7 8 9 10 9 9 10 11 11 10 7 7 7 8 9 9 10 10 9 7 7 7 8 8 8 8 9 9 8 9 11 13 15 15 14 12 10 8 8 8 7 6 6 7 9 11 12 12 12 12 14 14 10 6 3 0 0 2 4 6 7 8 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 7 7 7 7 7 6 4 4 5 6 7 8 11 13 15 14 11 8 5 4 4 6 7 8 8 9 9 11 12 14 14 14 14 14 16 16 15 12 10 9 11 14 16 17 17 18 19 17 14 11 11 12 12 12 10 10 12 13 13 13 13 13 11 8 5 5 8 10 13 13 11 10 9 8 8 8 7 6 5 6 8 9 10 10 10 10 10 11 12 12 12 12 11 10 10 10 11 10 10 10 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
88 108 128 145 148 143 149 163 210 227 213 193 162 138 119 105 102 105 110 115 123 134 142 139 133 125 114 103 96 94 90 88 90 90 89 89 89 88 84 79 76 76 77 80 84 90 95 94 93 97 107 118 121 109 94 79 67 60 55 51 50 54 59 66 73 73 39 18 8 4 2 2 1 0 0 0 0 0 5 21 37 46 53 68 84 100 115 131 149 160 169 170 150 115 85 63 47 37 33 33 32 29 33 44 52 79 80 84 79 76 80 47 21 18 12 7 7 14 34 62 94 134 159 108 90 99 104 97 91 104 131 142 100 39 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 5 8 28 47 15 7 6 3 2 2 2 7 80 302 644 943
100 106 116 127 133 135 142 158 223 257 263 238 194 161 144 137 125 119 124 133 142 156 162 144 123 112 100 87 81 78 73 72 77 80 80 84 88 90 88 83 78 76 78 79 80 88 98 100 99 97 100 118 134 131 115 95 77 66 62 59 62 67 75 79 78 62 22 5 1 0 1 1 0 0 0 0 0 4 16 37 52 61 76 99 122 146 175 208 249 272 285 278 236 172 116 77 52 42 38 34 30 27 32 44 51 86 85 79 84 88 77 50 28 18 12 8 8 19 44 75 108 137 144 88 99 146 162 129 86 77 104 126 89 29 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 9 17 93 151 51 27 24 13 5 3 6 37 157 406 741 1015
116 104 98 98 101 107 118 141 190 228 251 239 216 196 179 164 155 150 157 166 168 161 147 124 99 85 72 60 55 50 49 55 66 75 79 80 85 89 90 87 83 83 83 82 81 89 98 104 107 103 100 110 131 147 139 116 92 76 67 66 73 84 90 83 63 34 8 0 0 0 0 0 0 0 0 0 2 11 34 56 70 85 113 147 177 207 245 293 354 382 409 395 338 254 171 105 61 43 34 32 29 31 41 51 57 86 86 83 97 104 88 57 31 20 15 10 10 25 51 84 127 157 139 78 94 149 160 133 93 74 80 85 60 18 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 0 0 0 0 2 26 43 131 183 91 53 42 34 26 23 46 123 295 563 861 1079
140 120 98 82 76 78 89 106 126 144 177 197 208 211 206 198 193 199 210 208 184 146 115 91 70 57 49 40 39 37 45 61 80 95 101 95 88 86 87 92 93 92 91 89 84 89 97 109 118 117 111 114 133 159 163 141 114 91 78 78 91 105 100 68 33 11 2 0 0 0 0 0 0 0 0 2 8 20 41 67 90 120 169 192 203 216 240 274 308 317 343 344 328 292 228 143 74 45 32 34 33 36 41 46 57 85 95 98 96 102 85 56 32 21 15 11 14 31 51 81 139 180 152 86 91 113 98 97 94 83 71 53 29 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 2 0 0 1 11 52 85 116 120 92 83 78 73 88 118 172 279 468 723 965 1123
175 159 128 97 80 71 74 78 79 82 106 142 172 185 186 195 221 252 260 229 169 117 82 60 46 40 41 44 51 51 65 90 127 162 174 156 121 94 82 94 104 106 104 99 91 87 90 109 128 135 131 131 143 164 180 166 138 109 92 96 111 118 96 39 12 3 0 0 0 0 0 0 0 0 0 0 4 15 41 84 126 157 192 188 176 172 173 177 176 165 160 175 204 237 229 167 94 55 38 37 36 29 31 41 57 78 91 115 115 100 74 48 31 22 17 16 23 40 53 84 149 190 160 107 103 87 54 54 73 71 57 36 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 1 3 25 47 83 109 103 90 95 114 122 127 173 247 323 445 637 854 1034 1154
201 199 171 135 108 91 83 77 74 74 87 110 132 138 135 149 193 234 238 190 118 72 53 42 39 45 58 75 83 81 92 115 167 251 300 282 212 138 97 98 114 122 123 118 108 94 88 104 129 146 150 148 153 169 187 186 160 125 107 117 132 118 70 17 2 0 0 0 0 0 0 0 0 0 0 1 3 17 65 121 148 160 162 157 151 146 138 130 122 109 90 74 83 135 177 160 109 70 48 41 29 19 25 44 62 84 117 154 155 121 78 48 31 21 17 24 37 49 54 85 143 168 154 135 126 92 52 35 50 60 47 27 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 11 5 6 30 84 112 111 102 104 123 151 173 196 241 348 451 596 775 941 1072 1172
191 201 187 160 133 115 104 95 93 96 108 123 135 136 123 116 150 171 155 114 74 55 46 42 47 62 85 102 104 99 101 106 138 229 337 384 337 235 148 116 120 128 141 145 135 113 96 101 122 150 168 166 158 166 187 202 190 146 128 142 143 97 38 6 0 0 0 0 0 0 0 0 0 0 0 2 16 56 122 155 143 135 137 140 141 142 136 123 108 87 53 23 20 65 128 139 112 78 58 50 42 25 33 50 68 90 113 131 137 126 89 52 31 19 17 30 47 55 58 80 130 141 162 167 148 108 60 37 31 27 20 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 4 26 86 129 132 136 149 168 181 195 240 327 447 578 733 881 1003 1101 1182
150 156 151 140 126 114 109 110 114 125 139 158 170 166 150 141 152 146 120 93 75 65 54 49 55 66 92 110 113 108 99 85 82 117 227 341 374 313 214 144 122 120 145 163 164 144 118 107 117 147 185 197 183 174 191 219 222 182 158 170 150 72 19 2 0 0 0 0 1 0 0 0 0 0 0 2 24 118 158 156 143 137 133 138 141 144 139 123 100 69 30 4 5 32 95 123 112 87 69 64 61 54 48 63 95 123 139 136 119 104 82 51 32 23 26 40 54 56 59 85 146 128 156 169 155 115 68 40 24 10 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 60 129 182 226 234 210 193 213 280 389 548 699 839 955 1048 1124 1189
110 109 111 110 106 100 98 101 107 115 131 161 184 194 207 223 222 185 137 105 88 74 63 57 60 73 98 124 129 129 123 103 81 80 121 202 265 277 244 187 139 116 129 159 185 175 147 123 119 146 196 231 215 192 206 243 258 235 208 202 148 42 8 1 0 0 1 4 3 0 0 0 0 0 1 11 55 194 164 149 148 145 144 149 154 152 146 120 86 50 18 1 4 22 71 118 118 97 77 70 74 71 68 101 140 168 177 166 146 117 81 45 26 25 37 45 48 48 59 97 150 102 110 133 140 119 83 51 26 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 41 117 213 300 293 221 187 225 317 462 638 797 915 1001 1068 1128 1183
101 101 105 105 104 98 92 90 91 94 106 122 147 172 232 297 288 220 150 106 81 72 70 71 73 82 100 123 141 160 170 152 121 94 86 102 132 173 216 219 176 135 125 151 207 230 195 150 130 148 196 244 250 221 225 266 294 288 264 226 132 15 3 0 0 1 7 11 6 1 0 0 0 0 7 39 105 192 166 166 167 163 163 168 171 165 149 110 68 34 10 1 5 26 70 123 136 108 103 108 98 85 95 138 163 197 226 213 168 118 75 39 19 22 44 46 44 45 60 100 137 97 92 129 158 157 117 64 26 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 36 111 225 316 298 220 198 261 380 526 701 857 959 1027 1079 1126 1170
110 114 115 113 108 101 93 90 91 94 98 102 114 141 198 222 215 173 122 89 74 74 80 85 86 90 96 111 141 171 182 162 134 106 85 75 80 104 154 199 192 156 132 153 226 294 265 191 151 153 193 246 273 253 232 270 321 336 314 229 98 8 0 0 0 1 7 10 6 1 0 0 0 2 14 56 102 133 154 178 184 187 191 188 182 169 137 86 42 20 5 2 14 45 93 136 155 121 111 103 97 94 113 155 186 216 251 233 171 107 58 27 15 20 39 38 34 34 47 81 113 106 111 159 195 207 168 94 34 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 41 125 258 331 318 257 255 321 430 571 739 888 983 1042 1084 1118 1148
120 124 123 117 106 95 88 87 92 100 102 102 109 130 158 159 145 129 109 91 80 76 77 81 88 98 101 115 131 134 128 120 113 103 91 81 81 96 127 162 180 164 137 162 250 334 315 222 165 155 189 248 290 286 259 271 339 376 337 172 36 3 0 0 0 1 9 9 5 1 0 0 0 4 14 19 36 65 111 160 183 200 196 182 170 143 97 47 16 7 4 12 39 80 124 155 163 129 97 91 98 97 120 170 217 246 281 278 201 111 48 22 19 20 26 30 21 20 35 63 89 101 115 157 179 184 166 113 51 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 31 118 257 337 340 307 318 380 482 616 769 906 995 1046 1079 1100 1115
130 136 134 120 103 89 82 83 88 95 98 98 104 114 122 132 160 160 133 106 88 73 64 65 80 103 107 119 113 95 84 87 98 103 100 95 96 106 126 151 174 163 139 175 277 350 321 234 166 145 175 238 297 311 293 297 357 408 312 95 7 1 0 0 0 1 12 12 5 0 0 0 0 0 3 10 16 36 74 121 153 164 153 143 128 90 44 13 3 3 13 44 81 120 152 171 165 129 93 99 103 109 147 199 241 267 286 282 204 90 35 22 22 24 29 30 20 18 40 65 85 92 95 114 127 135 131 95 55 22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 69 197 310 336 335 367 432 525 641 775 904 990 1034 1054 1066 1077
144 153 146 125 105 89 80 78 80 83 86 87 90 97 112 144 180 180 136 93 65 52 47 52 69 88 82 98 94 83 77 81 91 100 102 103 106 113 122 133 138 129 114 163 255 305 277 211 155 132 154 211 272 298 297 315 371 394 238 36 1 0 0 0 0 2 7 6 2 0 0 0 0 1 5 15 21 45 75 99 109 105 95 95 75 40 12 1 0 5 25 72 108 139 173 184 165 130 108 111 126 123 153 214 261 278 280 267 210 118 48 31 30 34 38 34 24 25 51 75 87 84 79 85 93 96 95 72 47 26 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 32 129 266 321 345 402 468 547 645 764 887 972 1008 1011 1016 1017
153 150 138 120 104 92 84 79 77 76 75 76 76 82 105 131 144 135 105 78 62 50 46 52 64 72 67 78 87 84 80 80 83 88 93 98 100 101 99 93 90 87 90 126 181 237 232 186 140 123 134 166 210 250 277 322 374 349 174 6 2 0 0 0 0 1 3 3 1 0 0 0 0 0 2 9 19 49 75 78 63 44 36 43 29 9 2 0 1 7 31 77 125 147 184 195 162 126 115 122 133 139 180 228 273 301 298 270 216 147 92 55 45 45 44 40 38 42 69 86 83 74 74 83 88 78 66 59 45 28 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 119 269 357 384 443 497 558 640 752 869 944 964 952 943 936
127 116 104 97 96 95 92 86 80 75 71 68 69 75 87 99 104 99 87 73 62 52 52 60 66 68 67 73 85 86 81 78 77 80 83 85 82 77 75 74 72 70 75 99 153 227 221 170 131 117 120 135 161 205 266 328 361 277 111 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 2 8 18 32 41 30 14 7 9 13 7 0 0 0 2 11 38 84 128 141 173 185 153 121 109 123 150 154 200 240 266 301 295 254 204 150 124 82 76 58 48 49 53 58 74 80 74 76 89 103 103 84 58 50 38 24 16 8 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 159 332 454 472 500 540 585 654 751 848 906 914 900 887 878
84 79 76 79 91 101 102 94 84 78 72 66 63 65 69 78 88 91 86 72 55 47 55 69 69 68 66 68 77 82 81 76 75 76 76 74 69 65 66 70 68 65 68 90 136 181 166 135 117 115 121 131 152 202 283 342 334 181 48 3 3 2 2 3 2 2 1 1 0 0 0 0 0 1 4 12 16 10 8 3 1 3 4 2 1 0 0 0 2 14 41 77 107 122 145 159 152 135 122 125 133 149 208 277 287 292 266 229 194 159 133 100 87 55 44 48 54 58 64 69 74 87 109 128 122 93 62 49 39 24 10 4 5 8 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 59 214 413 547 570 569 592 624 681 757 827 868 877 873 872 871
66 67 69 78 94 106 107 98 87 82 78 69 61 58 60 67 74 83 84 73 56 48 58 73 72 68 66 67 72 77 79 75 72 72 72 71 68 65 63 63 61 60 64 86 114 129 129 119 111 115 124 142 179 243 320 361 306 101 21 6 3 2 3 4 3 2 1 0 0 0 0 0 0 0 2 6 6 1 0 0 0 0 0 0 0 0 0 0 2 12 37 62 89 115 132 145 161 168 143 132 137 160 215 285 295 264 235 201 167 151 138 102 67 40 35 39 43 46 51 58 70 92 121 140 127 96 68 48 33 6 2 7 14 19 17 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 114 307 504 615 642 632 643 672 719 772 817 845 858 865 876 885
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67 69 73 78 85 95 101 104 101 94 86 76 68 62 60 56 54 56 62 60 50 52 64 72 72 72 79 83 81 80 77 74 72 73 75 72 67 64 62 61 60 63 77 99 109 107 115 127 132 143 175 227 290 342 353 297 173 15 12 5 2 1 2 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 45 80 107 124 143 171 203 216 210 200 212 260 325 359 320 251 186 131 110 101 83 57 36 34 34 31 31 36 47 66 88 97 103 99 73 54 34 11 3 7 23 19 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 70 303 510 649 727 753 745 746 762 784 810 831 846 858 873 889 901
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70 71 68 66 68 73 81 93 98 94 90 85 76 66 59 55 49 50 55 52 43 42 57 67 68 72 82 92 89 82 72 63 63 64 64 62 60 58 57 60 69 87 111 124 122 96 119 142 172 214 263 307 333 311 227 109 35 7 2 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 59 81 105 124 138 151 160 165 177 198 235 294 327 302 241 173 124 103 111 111 88 61 48 46 44 43 44 45 50 49 33 15 16 24 26 24 15 7 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 134 299 543 684 753 791 807 807 819 844 862 868 867 867 869 874 878
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76 79 79 72 60 56 59 68 80 87 92 99 94 76 64 55 44 48 52 48 41 42 54 65 69 71 77 84 83 75 64 58 61 60 59 56 55 56 58 62 67 75 99 113 119 123 124 143 187 221 233 220 180 120 64 26 6 1 1 3 4 3 2 6 16 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 29 53 48 75 110 121 112 102 96 85 64 49 79 116 134 144 160 152 135 115 88 63 51 51 54 56 59 49 25 10 7 11 16 22 23 32 39 37 27 15 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36 170 298 519 689 789 843 864 863 856 867 883 893 894 890 883 874 871
74 81 84 78 65 53 53 61 73 83 91 103 105 83 68 56 47 46 50 48 40 43 55 67 73 76 80 87 85 75 64 58 58 58 57 56 55 58 63 71 81 92 104 111 112 104 106 135 185 213 205 183 154 115 66 25 7 5 5 6 4 5 6 11 16 12 3 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 37 54 76 103 119 116 103 91 80 57 18 22 77 143 183 185 156 119 91 71 56 50 53 58 57 47 38 11 13 15 13 10 9 10 25 39 41 32 19 8 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37 162 333 532 682 786 851 885 891 879 872 873 883 886 885 879 871 867
69 75 79 80 72 57 52 55 65 79 93 105 109 91 73 62 52 50 53 50 39 36 49 62 70 74 79 90 86 73 62 55 52 52 51 53 54 59 69 79 84 89 96 98 96 79 80 116 164 190 184 170 143 98 48 16 13 22 26 37 20 10 9 9 8 5 1 0 2 5 9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 16 34 58 80 88 86 84 92 92 66 19 12 48 128 194 201 158 106 76 65 58 55 59 62 56 40 19 5 18 17 12 6 3 6 20 34 35 29 19 11 9 9 10 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 27 122 294 477 641 763 847 900 915 898 878 869 874 879 881 877 870 866
62 64 69 77 75 64 56 52 56 67 84 99 106 100 84 65 51 53 56 50 37 31 42 57 65 70 76 83 81 67 60 53 48 46 48 50 52 57 68 74 73 71 76 83 74 68 68 89 121 145 150 148 108 32 11 6 13 33 53 82 62 49 34 19 11 8 7 7 11 19 18 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 4 10 19 28 31 22 22 43 66 56 19 12 17 75 157 178 142 91 66 67 69 64 63 62 55 35 6 10 28 23 23 22 19 18 25 33 35 32 25 18 14 13 14 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 31 117 266 445 576 720 831 898 923 919 904 890 880 882 887 887 880 871
56 56 60 71 76 70 60 54 52 57 72 88 99 101 92 72 52 56 57 45 33 31 42 57 65 68 74 77 73 62 59 53 48 47 48 49 52 56 65 71 68 65 67 70 64 73 61 64 83 102 113 115 85 7 1 1 4 17 34 53 124 126 79 42 26 23 21 21 21 22 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 2 2 4 5 5 3 1 3 15 53 56 27 14 10 33 109 134 107 73 63 75 82 73 59 46 33 18 13 35 56 56 67 73 63 43 27 22 19 23 26 21 11 7 9 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 12 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 28 96 213 348 495 682 809 880 921 936 929 911 891 886 894 903 905 897
57 56 58 68 74 73 65 57 52 53 61 78 93 103 103 90 71 69 61 43 31 33 47 61 67 66 69 71 66 60 59 54 50 48 48 50 53 57 61 62 63 65 70 72 72 74 55 51 63 79 93 89 56 0 0 0 0 1 6 47 144 133 74 40 31 31 32 31 26 14 4 0 0 0 0 0 0 0 1 2 2 3 3 0 0 0 0 0 0 0 1 4 2 1 3 6 6 3 1 2 18 80 68 37 21 13 17 53 69 61 53 62 81 88 72 41 18 14 21 45 84 97 77 89 99 80 45 17 7 10 22 27 26 14 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 29 63 156 383 624 756 846 906 937 942 929 909 897 902 917 925 920
61 61 62 66 70 73 67 61 56 53 56 66 83 97 104 96 86 77 58 36 28 39 53 62 64 63 65 65 62 61 60 56 50 46 47 50 52 50 42 32 36 49 66 74 78 75 61 47 51 66 80 71 36 0 0 0 0 1 5 33 67 57 35 22 29 45 54 48 30 5 0 0 0 0 0 0 0 0 4 7 8 10 9 4 0 0 0 0 0 0 0 1 1 0 2 8 14 12 5 10 35 118 74 39 23 14 16 26 39 40 47 69 85 77 47 18 10 42 77 96 99 97 97 106 89 51 23 12 15 22 34 34 34 22 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 4 8 17 77 266 557 694 805 880 923 940 941 930 917 915 924 931 931
62 64 63 65 68 68 66 63 59 55 55 60 73 92 107 97 91 79 57 36 28 43 56 61 61 61 61 59 55 57 58 55 50 47 49 49 44 33 17 6 11 26 50 69 80 77 66 54 45 45 50 43 19 0 0 0 1 2 4 6 8 12 13 13 41 87 98 62 19 1 0 0 0 0 0 0 0 1 6 13 17 19 21 17 7 0 0 0 0 0 0 0 0 0 0 10 27 28 20 30 65 96 56 33 21 16 19 36 63 73 65 69 62 41 24 29 56 118 150 142 123 115 117 118 88 40 26 28 36 44 49 40 34 27 18 8 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 9 7 5 2 3 56 224 488 652 767 845 896 927 942 944 938 932 935 932 937
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59 63 61 58 57 57 56 57 59 59 59 63 72 89 107 109 94 86 67 48 43 50 62 69 67 61 54 49 46 46 46 48 49 48 46 38 22 7 1 0 0 3 21 54 76 75 71 48 21 5 0 0 0 0 0 0 1 3 6 15 56 46 18 13 38 63 47 25 20 10 2 0 0 0 0 0 0 2 10 23 35 39 44 39 19 3 0 0 0 0 0 0 0 0 1 6 28 55 64 72 85 83 41 32 28 24 41 82 121 114 45 20 19 43 92 148 188 204 192 160 130 110 98 87 74 62 46 45 39 23 10 11 19 22 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 30 33 9 3 1 5 36 131 305 513 677 794 882 938 970 988 991 983 981 970 975
60 63 61 56 54 56 55 55 57 60 63 64 72 90 107 110 97 84 70 56 50 52 59 68 68 60 51 45 43 43 42 44 45 43 38 27 12 2 0 0 1 6 30 66 88 85 69 37 13 2 0 1 1 0 0 0 0 1 9 35 71 44 13 5 17 24 16 26 19 6 1 0 0 0 0 0 0 2 8 22 37 44 43 27 9 1 0 0 0 0 0 0 0 3 11 26 43 90 98 78 67 55 35 34 34 27 36 63 83 66 19 19 39 84 135 171 187 188 175 156 140 134 131 117 99 85 61 35 26 13 4 1 2 7 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 51 68 32 6 6 7 15 44 120 265 460 650 796 907 974 1011 1027 1025 1014 1009 1002 1012
57 61 62 60 57 57 55 55 57 60 65 67 70 85 103 111 102 85 63 52 51 50 52 57 59 55 48 42 38 38 39 41 40 36 28 17 6 0 0 0 1 6 17 36 51 48 31 13 4 1 1 1 2 1 0 0 0 1 9 22 11 3 1 0 3 8 13 12 1 1 0 0 0 0 0 0 0 0 4 13 25 32 27 12 3 0 0 0 0 1 2 1 4 19 42 64 84 120 109 71 59 49 38 39 39 28 23 26 28 25 27 49 82 125 156 164 158 149 142 135 131 131 131 118 98 76 44 21 11 4 2 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 24 64 72 13 15 21 27 39 68 132 247 414 611 783 906 1002 1055 1069 1065 1062 1057 1057 1068
51 56 58 59 57 57 55 55 56 62 67 68 70 79 92 96 93 79 62 53 49 47 47 48 47 43 36 32 25 25 30 31 26 22 13 7 2 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 3 6 8 8 4 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 8 3 4 4 3 1 3 8 13 13 10 27 66 103 117 107 67 52 58 52 44 41 37 25 19 24 29 30 46 84 115 136 147 138 123 116 116 114 110 111 106 90 72 50 23 10 5 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 45 56 40 41 51 62 80 111 163 251 386 564 782 919 1025 1082 1102 1107 1114 1116 1116 1122
46 50 54 55 56 57 56 55 56 62 66 68 70 75 82 79 78 66 53 48 48 45 45 43 39 34 27 19 10 10 17 18 14 10 4 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 7 12 12 11 5 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 13 11 6 3 9 21 33 40 43 56 90 114 106 82 66 44 48 41 33 29 26 22 22 38 64 62 72 96 114 121 122 111 100 101 109 113 112 116 95 65 43 24 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 82 124 109 101 104 117 140 170 214 278 381 540 754 923 1033 1097 1131 1148 1157 1161 1161 1163
43 46 51 55 55 57 57 56 56 62 67 68 68 70 73 74 66 59 46 42 42 41 43 40 36 30 19 8 2 2 8 10 7 4 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 10 6 6 17 36 52 64 77 93 106 106 83 73 74 40 26 24 22 22 22 23 29 51 103 111 107 111 118 117 110 98 90 91 102 110 102 77 58 31 16 9 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 74 144 174 175 178 201 233 265 299 344 416 539 737 924 1033 1113 1165 1187 1187 1180 1176 1179
41 43 47 51 53 56 57 55 55 62 68 71 70 70 73 72 60 53 35 36 35 34 39 38 31 19 7 1 0 1 5 9 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 6 11 29 54 72 71 61 66 75 75 64 62 54 29 21 25 28 28 24 22 26 44 88 141 138 131 130 127 115 97 83 76 76 80 69 39 8 3 4 5 4 3 2 2 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 77 134 177 206 236 274 318 384 450 513 600 745 915 1029 1127 1192 1215 1205 1187 1174 1171
39 41 44 47 51 54 57 54 53 57 65 70 71 69 66 60 53 44 29 32 38 41 40 35 24 11 2 0 0 1 4 5 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 5 9 12 14 16 26 54 82 87 65 41 31 32 44 45 49 40 28 25 31 36 32 22 16 15 20 45 135 148 137 131 124 108 85 64 49 38 29 17 5 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 41 73 101 128 182 279 414 515 604 703 813 941 1052 1143 1208 1233 1224 1199 1175 1161
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